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Finding the Third Proportional to 146,032.50 and 213,304.50

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Solution

The third proportional to 146,032.50 and 213,304.50 is: 311,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,032.50 : 213,304.50 = 213,304.50 : x
  2. Step 2: Convert to fraction form
    146,032.50/213,304.50 = 213,304.50/x
  3. Step 3: Cross multiply
    146,032.50x = 213,304.50 × 213,304.50
  4. Step 4: Simplify right side
    146,032.50x = 45,498,809,720.25
  5. Step 5: Solve for x
    x = 45,498,809,720.25/146,032.50
  6. Step 6: Final answer
    x = 311,566.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.